TSTP Solution File: GRP303-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:58:29 EDT 2024
% Result : Unsatisfiable 0.22s 0.45s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 35
% Syntax : Number of formulae : 766 ( 68 unt; 0 def)
% Number of atoms : 3073 (1049 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 4332 (2025 ~;2297 |; 0 &)
% ( 10 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 11 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 380 ( 380 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2396,plain,
$false,
inference(avatar_sat_refutation,[],[f35,f156,f170,f567,f666,f890,f899,f901,f923,f954,f959,f966,f968,f970,f972,f976,f979,f983,f985,f987,f989,f991,f995,f997,f999,f1002,f1004,f1006,f1008,f1010,f1012,f1014,f1016,f1018,f1020,f1022,f1177,f1388,f1410,f1467,f1470,f1473,f1480,f1485,f1491,f1496,f1502,f1506,f1510,f1515,f1520,f1525,f1529,f1588,f1972,f1980,f1982,f1984,f1986,f1991,f1996,f2001,f2005,f2008,f2013,f2015,f2017,f2019,f2052,f2054,f2056,f2058,f2060,f2062,f2064,f2066,f2069,f2137,f2139,f2141,f2143,f2145,f2147,f2149,f2151,f2154,f2156,f2158,f2160,f2162,f2164,f2166,f2168,f2170,f2172,f2174,f2176,f2178,f2180,f2182,f2184,f2186,f2237,f2298,f2395]) ).
fof(f2395,plain,
( spl0_6
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2373,f920,f916,f154,f565]) ).
fof(f565,plain,
( spl0_6
<=> ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f154,plain,
( spl0_3
<=> ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f916,plain,
( spl0_9
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f920,plain,
( spl0_10
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2373,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2372,f1191]) ).
fof(f1191,plain,
( identity = sk_c7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f922,f918]) ).
fof(f918,plain,
( identity = sk_c6
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f922,plain,
( sk_c7 = sk_c6
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f2372,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_3
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f155,f1191]) ).
fof(f155,plain,
( ! [X6] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f2298,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2297]) ).
fof(f2297,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2295,f2212]) ).
fof(f2212,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f34,f122]) ).
fof(f122,plain,
( identity = sk_c1
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f104,f36]) ).
fof(f36,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f34]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f104,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f54]) ).
fof(f54,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(forward_demodulation,[],[f45,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f45,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f3,f36]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f99,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f98,f70]) ).
fof(f70,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f67,f59]) ).
fof(f59,plain,
( sk_c7 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f39]) ).
fof(f39,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| spl0_1 ),
inference(subsumption_resolution,[],[f4,f29]) ).
fof(f29,plain,
( sk_c7 != inverse(sk_c3)
| spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_1
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f4,axiom,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f56,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f40]) ).
fof(f40,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_1 ),
inference(subsumption_resolution,[],[f9,f29]) ).
fof(f9,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f67,plain,
( sk_c6 = sk_c5
| spl0_1 ),
inference(superposition,[],[f62,f8]) ).
fof(f8,axiom,
sk_c5 = multiply(sk_c6,sk_c7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| spl0_1 ),
inference(superposition,[],[f55,f41]) ).
fof(f41,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_1 ),
inference(subsumption_resolution,[],[f17,f29]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f55,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| spl0_1 ),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f48,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| spl0_1 ),
inference(superposition,[],[f3,f38]) ).
fof(f38,plain,
( identity = multiply(sk_c6,sk_c2)
| spl0_1 ),
inference(superposition,[],[f2,f37]) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c2)
| spl0_1 ),
inference(subsumption_resolution,[],[f21,f29]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f98,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f46,f59]) ).
fof(f46,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| spl0_1 ),
inference(superposition,[],[f3,f39]) ).
fof(f34,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_2
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2295,plain,
( sk_c7 != inverse(identity)
| spl0_1
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f29,f2293]) ).
fof(f2293,plain,
( identity = sk_c3
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1818,f1191]) ).
fof(f1818,plain,
( sk_c7 = sk_c3
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1788,f1101]) ).
fof(f1101,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f665,f918]) ).
fof(f665,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl0_8
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1788,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f380,f379]) ).
fof(f379,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f53,f2]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f44,f1]) ).
fof(f44,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f380,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f53,f53]) ).
fof(f2237,plain,
( spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2236]) ).
fof(f2236,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2235,f944]) ).
fof(f944,plain,
( identity != sk_c7
| spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f917,f922]) ).
fof(f917,plain,
( identity != sk_c6
| spl0_9 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f2235,plain,
( identity = sk_c7
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2229,f2]) ).
fof(f2229,plain,
( sk_c7 = multiply(inverse(identity),identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f379,f2223]) ).
fof(f2223,plain,
( identity = inverse(sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f1813,f2212]) ).
fof(f1813,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f1788,f379]) ).
fof(f2186,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2185]) ).
fof(f2185,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147,f137,f68,f59,f67,f29]) ).
fof(f68,plain,
( sk_c6 = sk_c5
| spl0_1 ),
inference(superposition,[],[f8,f62]) ).
fof(f137,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f34,f122]) ).
fof(f147,plain,
( sk_c7 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f140,f70]) ).
fof(f140,plain,
( sk_c6 = inverse(identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f37,f123]) ).
fof(f123,plain,
( identity = sk_c2
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f104,f73]) ).
fof(f130,plain,
( identity = sk_c2
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f73,f104]) ).
fof(f1944,plain,
! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(inverse(sk_c7),X0)),
inference(superposition,[],[f47,f1793]) ).
fof(f921,plain,
( sk_c7 != sk_c6
| spl0_10 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f7,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f26,plain,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(global_subsumption,[],[f8,f13,f15,f14,f16,f21,f17,f9,f4,f23,f22,f24,f19,f11,f6,f18,f20,f10,f5,f12,f7,f25]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f19,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f11,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f394,plain,
! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0)),
inference(superposition,[],[f53,f47]) ).
fof(f582,plain,
! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0)),
inference(superposition,[],[f3,f395]) ).
fof(f2071,plain,
sk_c6 = multiply(sk_c5,inverse(sk_c7)),
inference(forward_demodulation,[],[f1895,f1788]) ).
fof(f1895,plain,
multiply(sk_c6,identity) = multiply(sk_c5,inverse(sk_c7)),
inference(superposition,[],[f47,f1792]) ).
fof(f2070,plain,
! [X0] : multiply(sk_c7,X0) = multiply(inverse(sk_c6),multiply(sk_c5,X0)),
inference(forward_demodulation,[],[f709,f1813]) ).
fof(f1767,plain,
identity = inverse(identity),
inference(superposition,[],[f1741,f379]) ).
fof(f1768,plain,
identity = inverse(identity),
inference(superposition,[],[f379,f1741]) ).
fof(f1810,plain,
identity = inverse(identity),
inference(superposition,[],[f1788,f2]) ).
fof(f1811,plain,
identity = inverse(identity),
inference(superposition,[],[f1788,f377]) ).
fof(f2030,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1814,f1813]) ).
fof(f1814,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1788,f1741]) ).
fof(f1822,plain,
identity = inverse(identity),
inference(superposition,[],[f2,f1788]) ).
fof(f1823,plain,
identity = inverse(identity),
inference(superposition,[],[f377,f1788]) ).
fof(f2029,plain,
identity = inverse(identity),
inference(forward_demodulation,[],[f1826,f1813]) ).
fof(f1826,plain,
identity = inverse(inverse(inverse(identity))),
inference(superposition,[],[f1741,f1788]) ).
fof(f1882,plain,
identity = inverse(identity),
inference(superposition,[],[f1792,f1]) ).
fof(f1889,plain,
identity = inverse(identity),
inference(superposition,[],[f1,f1792]) ).
fof(f1939,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f3,f1793]) ).
fof(f1933,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X0,X1)),X2))) = X2,
inference(superposition,[],[f1793,f3]) ).
fof(f1793,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f380,f53]) ).
fof(f1890,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f3,f1792]) ).
fof(f1901,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f1888,f1]) ).
fof(f1888,plain,
! [X0,X1] : multiply(identity,X1) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3,f1792]) ).
fof(f1883,plain,
! [X0,X1] : identity = multiply(X0,multiply(X1,inverse(multiply(X0,X1)))),
inference(superposition,[],[f1792,f3]) ).
fof(f1792,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f380,f2]) ).
fof(f1867,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f1813]) ).
fof(f1866,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f53,f1813]) ).
fof(f1847,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1827,f1788]) ).
fof(f1827,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f380,f1788]) ).
fof(f1825,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f379,f1788]) ).
fof(f1839,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f1815,f1788]) ).
fof(f1815,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f1788,f380]) ).
fof(f1802,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(superposition,[],[f53,f380]) ).
fof(f1801,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f53,f380]) ).
fof(f1800,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f380]) ).
fof(f1796,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f379,f380]) ).
fof(f1774,plain,
! [X0,X1] : multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f1770,f1]) ).
fof(f1770,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(inverse(inverse(X0))),multiply(X0,X1)),
inference(superposition,[],[f3,f1741]) ).
fof(f1769,plain,
! [X0] : multiply(inverse(inverse(inverse(inverse(X0)))),identity) = X0,
inference(superposition,[],[f53,f1741]) ).
fof(f1741,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f53,f379]) ).
fof(f1748,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(forward_demodulation,[],[f1742,f1]) ).
fof(f1742,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),multiply(identity,X1)),
inference(superposition,[],[f3,f379]) ).
fof(f1057,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f34]) ).
fof(f1056,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
| ~ spl0_2 ),
inference(superposition,[],[f53,f34]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f709,plain,
! [X0] : multiply(sk_c7,X0) = multiply(inverse(inverse(inverse(sk_c6))),multiply(sk_c5,X0)),
inference(superposition,[],[f3,f594]) ).
fof(f708,plain,
sk_c5 = multiply(inverse(inverse(inverse(inverse(sk_c6)))),sk_c7),
inference(superposition,[],[f53,f594]) ).
fof(f594,plain,
sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),sk_c5),
inference(superposition,[],[f53,f581]) ).
fof(f5,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f601,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f53,f377]) ).
fof(f377,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f53,f1]) ).
fof(f595,plain,
! [X0] : multiply(sk_c5,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c7,X0)),
inference(superposition,[],[f3,f581]) ).
fof(f581,plain,
sk_c5 = multiply(inverse(inverse(sk_c6)),sk_c7),
inference(superposition,[],[f53,f395]) ).
fof(f395,plain,
sk_c7 = multiply(inverse(sk_c6),sk_c5),
inference(superposition,[],[f53,f8]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f184,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(superposition,[],[f47,f54]) ).
fof(f199,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f198,f1]) ).
fof(f198,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c5,multiply(sk_c1,X0))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f197,f3]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c1,X0)) = multiply(multiply(sk_c6,identity),X0)
| ~ spl0_2 ),
inference(superposition,[],[f3,f188]) ).
fof(f383,plain,
( ! [X0] : multiply(sk_c1,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_2 ),
inference(superposition,[],[f53,f54]) ).
fof(f392,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl0_2 ),
inference(superposition,[],[f53,f36]) ).
fof(f400,plain,
( sk_c1 = multiply(inverse(sk_c5),multiply(sk_c6,identity))
| ~ spl0_2 ),
inference(superposition,[],[f53,f188]) ).
fof(f378,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[],[f53,f3]) ).
fof(f188,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f47,f36]) ).
fof(f47,plain,
! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c7,X0)),
inference(superposition,[],[f3,f8]) ).
fof(f23,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f97,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,sk_c7)
| sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f96,f70]) ).
fof(f96,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c7)
| sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f95,f70]) ).
fof(f95,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f94,f70]) ).
fof(f94,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f93,f70]) ).
fof(f93,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X6)
| sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f92,f70]) ).
fof(f92,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f66,f70]) ).
fof(f129,plain,
( identity = sk_c1
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f36,f104]) ).
fof(f126,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f76,f104]) ).
fof(f125,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f54,f104]) ).
fof(f119,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f104,f76]) ).
fof(f118,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f104,f54]) ).
fof(f117,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f116,f1]) ).
fof(f116,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f110]) ).
fof(f110,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f36]) ).
fof(f111,plain,
( identity = multiply(sk_c7,identity)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f73]) ).
fof(f105,plain,
( ! [X0] : multiply(sk_c7,X0) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f99,f76]) ).
fof(f103,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f50,f70]) ).
fof(f102,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f49,f70]) ).
fof(f101,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f100,f59]) ).
fof(f100,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f47,f70]) ).
fof(f76,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f55,f70]) ).
fof(f86,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f77]) ).
fof(f77,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f56,f70]) ).
fof(f84,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c7,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f75]) ).
fof(f85,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f83,f70]) ).
fof(f83,plain,
( sk_c7 = multiply(sk_c6,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f55,f75]) ).
fof(f75,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f41,f70]) ).
fof(f82,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f81,f1]) ).
fof(f81,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f73]) ).
fof(f73,plain,
( identity = multiply(sk_c7,sk_c2)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f38,f70]) ).
fof(f78,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f62,f70]) ).
fof(f80,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f74,f59]) ).
fof(f74,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f70]) ).
fof(f79,plain,
( sk_c7 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f72,f59]) ).
fof(f72,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f8,f70]) ).
fof(f69,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f62]) ).
fof(f71,plain,
( sk_c7 = sk_c6
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f68,f59]) ).
fof(f66,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f65,f59]) ).
fof(f65,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| spl0_1 ),
inference(subsumption_resolution,[],[f26,f39]) ).
fof(f61,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f3,f56]) ).
fof(f60,plain,
( sk_c7 = sk_c5
| spl0_1
| ~ spl0_2 ),
inference(superposition,[],[f39,f56]) ).
fof(f50,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c6,X0))
| spl0_1 ),
inference(superposition,[],[f3,f41]) ).
fof(f49,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
| spl0_1 ),
inference(superposition,[],[f3,f40]) ).
fof(f13,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f25,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f2184,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2183]) ).
fof(f2183,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147,f137,f68,f59,f67]) ).
fof(f2182,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2181]) ).
fof(f2181,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147,f137,f68,f59]) ).
fof(f2180,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2179]) ).
fof(f2179,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147,f137,f68]) ).
fof(f2178,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2177]) ).
fof(f2177,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147,f137]) ).
fof(f2176,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2175]) ).
fof(f2175,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(subsumption_resolution,[],[f70,f921]) ).
fof(f2174,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2173,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f137,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122,f147]) ).
fof(f2172,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2171]) ).
fof(f2171,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f137,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123,f122]) ).
fof(f2170,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2169]) ).
fof(f2169,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f122,f137,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130,f123]) ).
fof(f2168,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2167]) ).
fof(f2167,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34,f130]) ).
fof(f2166,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2165]) ).
fof(f2165,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9,f34]) ).
fof(f2164,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2163]) ).
fof(f2163,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_10 ),
inference(global_subsumption,[],[f155,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9]) ).
fof(f2162,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2161]) ).
fof(f2161,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f2083,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9]) ).
fof(f2083,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_4 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f9,f4,f21,f23,f47,f53,f378,f26,f20,f18,f12,f7,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11]) ).
fof(f164,plain,
( sk_c6 != inverse(sk_c4)
| spl0_4 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f163,plain,
( spl0_4
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2160,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f2088,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9]) ).
fof(f2088,plain,
( sk_c7 = inverse(sk_c1)
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f26,f20,f12,f7,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19,f2084,f18,f16,f2087,f15]) ).
fof(f2087,plain,
( sk_c7 = inverse(sk_c1)
| spl0_4 ),
inference(global_subsumption,[],[f15,f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f26,f20,f12,f7,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19,f2084,f18,f16]) ).
fof(f2084,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_4 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f26,f20,f18,f12,f7,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19]) ).
fof(f2158,plain,
( spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2157]) ).
fof(f2157,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f2087,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9]) ).
fof(f2156,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2155]) ).
fof(f2155,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17,f9]) ).
fof(f2154,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2153,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f9,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944,f17]) ).
fof(f2151,plain,
( spl0_1
| ~ spl0_2
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2150]) ).
fof(f2150,plain,
( $false
| spl0_1
| ~ spl0_2
| spl0_10 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f17,f9,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921,f1944]) ).
fof(f2149,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2148,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_7
| spl0_10 ),
inference(global_subsumption,[],[f2112,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f17,f9,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921]) ).
fof(f2112,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c5)
| ~ spl0_7 ),
inference(superposition,[],[f53,f661]) ).
fof(f661,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl0_7
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2147,plain,
( spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2146]) ).
fof(f2146,plain,
( $false
| spl0_1
| ~ spl0_2
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f2131,f25,f8,f1,f2,f13,f29,f36,f37,f38,f39,f40,f41,f3,f46,f49,f50,f54,f56,f60,f61,f59,f55,f66,f62,f71,f69,f70,f79,f80,f78,f73,f82,f75,f85,f84,f77,f86,f76,f101,f102,f103,f99,f105,f111,f110,f117,f104,f118,f119,f125,f126,f129,f130,f122,f137,f123,f147,f97,f17,f9,f4,f21,f23,f47,f188,f53,f378,f400,f392,f383,f199,f184,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f1056,f1057,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f34,f2070,f2071,f582,f394,f6,f11,f19,f18,f16,f15,f12,f26,f7,f10,f20,f921]) ).
fof(f2131,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f53,f665]) ).
fof(f2145,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2144,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f2084,f18,f16,f15,f12,f2089,f26,f7,f10,f2092,f20,f2093,f164,f2083,f2088,f2087,f33]) ).
fof(f33,plain,
( sk_c7 != inverse(sk_c1)
| spl0_2 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f2093,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19,f2084,f18,f16,f2087,f15,f2088,f12,f2089,f26,f7,f10,f2092,f20]) ).
fof(f2092,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f20,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19,f2084,f18,f16,f2087,f15,f2088,f12,f2089,f26,f7,f10]) ).
fof(f2089,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f26,f20,f7,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f164,f6,f11,f2083,f19,f2084,f18,f16,f2087,f15,f2088,f12]) ).
fof(f2143,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2142]) ).
fof(f2142,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f33,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f2084,f18,f16,f15,f12,f2089,f26,f7,f10,f2092,f20,f2093,f164,f2083,f2088,f2087]) ).
fof(f2141,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2140]) ).
fof(f2140,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f33,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f2084,f18,f16,f2087,f15,f12,f2089,f26,f7,f10,f2092,f20,f2093,f164,f2083,f2088]) ).
fof(f2139,plain,
( spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2138]) ).
fof(f2138,plain,
( $false
| spl0_2
| spl0_4 ),
inference(global_subsumption,[],[f25,f8,f1,f2,f13,f3,f17,f9,f4,f21,f23,f47,f53,f378,f24,f22,f395,f581,f595,f377,f601,f5,f594,f708,f709,f14,f33,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f2070,f2071,f582,f394,f6,f11,f19,f2084,f18,f16,f2087,f15,f2088,f12,f2089,f26,f7,f10,f2092,f20,f2093,f164,f2083]) ).
fof(f2137,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_9 ),
inference(avatar_contradiction_clause,[],[f2136]) ).
fof(f2136,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| spl0_9 ),
inference(subsumption_resolution,[],[f2135,f917]) ).
fof(f2135,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f2134,f605]) ).
fof(f605,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f384,f2]) ).
fof(f384,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(superposition,[],[f53,f159]) ).
fof(f159,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f158,f1]) ).
fof(f158,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f157]) ).
fof(f157,plain,
( identity = multiply(sk_c7,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f2,f30]) ).
fof(f30,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f2134,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_4 ),
inference(forward_demodulation,[],[f2083,f576]) ).
fof(f576,plain,
( sk_c3 = sk_c1
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f392,f390]) ).
fof(f390,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f157]) ).
fof(f2069,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2068]) ).
fof(f2068,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592,f1591,f1055,f2067]) ).
fof(f2067,plain,
( identity != sk_c7
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f921,f918]) ).
fof(f1055,plain,
( identity != sk_c7
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f921,f918]) ).
fof(f1591,plain,
( sk_c7 = inverse(sk_c1)
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1562,f1563,f1586,f1581,f1589,f1578,f1590,f1566]) ).
fof(f1592,plain,
( sk_c7 = inverse(sk_c1)
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1562,f1586,f1581,f1589,f1578,f1590,f1566,f1591,f1563]) ).
fof(f1638,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1636,f918]) ).
fof(f1636,plain,
( sk_c6 = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f169,f1576]) ).
fof(f1589,plain,
( identity = multiply(sk_c1,sk_c7)
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1562,f1563,f1566,f1578,f1586,f1581]) ).
fof(f1677,plain,
( identity = sk_c7
| spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1676,f1]) ).
fof(f1676,plain,
( sk_c7 = multiply(identity,identity)
| spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1590,f1576]) ).
fof(f2049,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1566,f1563,f1576,f1638,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2048]) ).
fof(f2048,plain,
( identity = sk_c7
| identity = multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f2047,f1]) ).
fof(f2047,plain,
( sk_c7 = multiply(identity,identity)
| identity = multiply(sk_c4,sk_c7)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1555,f1576]) ).
fof(f2035,plain,
( identity = multiply(sk_c1,sk_c7)
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1581,f1589,f1578,f1590,f1566,f1591,f1563,f1592,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562]) ).
fof(f1562,plain,
( identity = multiply(sk_c4,sk_c7)
| identity = multiply(sk_c1,sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1561,f918]) ).
fof(f1561,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| identity = multiply(sk_c1,sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1560,f1046]) ).
fof(f1560,plain,
( identity = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f12,f918]) ).
fof(f2028,plain,
( identity = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1869,f1576]) ).
fof(f1869,plain,
( sk_c2 = inverse(identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1854,f918]) ).
fof(f1854,plain,
( sk_c2 = inverse(sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f1813,f169]) ).
fof(f1586,plain,
( identity != inverse(sk_c4)
| spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f164,f918]) ).
fof(f1576,plain,
( identity = sk_c2
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1575,f2]) ).
fof(f1575,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f570,f918]) ).
fof(f1563,plain,
( identity = inverse(sk_c4)
| sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f15,f918]) ).
fof(f1566,plain,
( identity = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1565,f918]) ).
fof(f1565,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c1)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f16,f1046]) ).
fof(f1590,plain,
( sk_c7 = multiply(sk_c2,identity)
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1562,f1563,f1566,f1586,f1581,f1589,f1578]) ).
fof(f1578,plain,
( sk_c7 = multiply(sk_c2,identity)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1577,f918]) ).
fof(f1577,plain,
( identity = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f19,f918]) ).
fof(f1581,plain,
( identity = multiply(sk_c1,sk_c7)
| identity = inverse(sk_c4)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1580,f918]) ).
fof(f1580,plain,
( identity = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f11,f918]) ).
fof(f1574,plain,
( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f568,f918]) ).
fof(f1573,plain,
( ! [X0] : multiply(identity,multiply(sk_c2,X0)) = X0
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f572,f918]) ).
fof(f1034,plain,
( identity = multiply(identity,sk_c2)
| ~ spl0_5
| ~ spl0_9 ),
inference(superposition,[],[f569,f918]) ).
fof(f1555,plain,
( identity = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,identity)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1554,f918]) ).
fof(f1554,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c7 = multiply(sk_c2,identity)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1169,f1046]) ).
fof(f1169,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f20,f918]) ).
fof(f1553,plain,
( sk_c7 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1035,f1046]) ).
fof(f1373,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1037,f1046]) ).
fof(f1072,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c7)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1060,f918]) ).
fof(f1060,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c6))),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f594,f1046]) ).
fof(f1046,plain,
( sk_c7 = sk_c5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1027,f1]) ).
fof(f1027,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f8,f918]) ).
fof(f1037,plain,
( sk_c7 = multiply(inverse(inverse(inverse(identity))),sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f594,f918]) ).
fof(f1035,plain,
( sk_c5 = multiply(inverse(inverse(identity)),sk_c7)
| ~ spl0_9 ),
inference(superposition,[],[f581,f918]) ).
fof(f1032,plain,
( sk_c7 = multiply(inverse(identity),sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f395,f918]) ).
fof(f1047,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,X0)
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1028,f1]) ).
fof(f1028,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(identity,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f47,f918]) ).
fof(f572,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f571,f1]) ).
fof(f571,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c2,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f569]) ).
fof(f570,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl0_5 ),
inference(superposition,[],[f53,f569]) ).
fof(f569,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl0_5 ),
inference(superposition,[],[f2,f169]) ).
fof(f568,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c2,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f53,f169]) ).
fof(f169,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_5
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2066,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2065]) ).
fof(f2065,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592,f1591,f1055]) ).
fof(f2064,plain,
( ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2063]) ).
fof(f2063,plain,
( $false
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f34,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592,f1591]) ).
fof(f2062,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
fof(f2061,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f1593,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592,f1591]) ).
fof(f1593,plain,
( sk_c7 = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f576,f1107]) ).
fof(f1107,plain,
( sk_c7 = sk_c3
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f1101,f604]) ).
fof(f604,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_1 ),
inference(superposition,[],[f384,f390]) ).
fof(f2060,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2059]) ).
fof(f2059,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592,f1591]) ).
fof(f2058,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2057,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1591,f1563,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638,f1592]) ).
fof(f2056,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2055]) ).
fof(f2055,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1591,f1563,f1592,f1576,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589,f1638]) ).
fof(f2054,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2053]) ).
fof(f2053,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1578,f1590,f1566,f1591,f1563,f1592,f1576,f1638,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677,f1589]) ).
fof(f2052,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f2051]) ).
fof(f2051,plain,
( $false
| spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f26,f394,f20,f18,f12,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f921,f918,f1047,f1032,f1035,f1037,f1055,f1046,f1072,f1373,f1553,f1555,f1034,f1573,f1574,f1581,f1589,f1578,f1590,f1566,f1591,f1563,f1592,f1576,f1638,f1586,f379,f1748,f1741,f1769,f1774,f380,f1796,f1800,f1801,f1802,f1788,f1839,f1825,f1847,f1813,f1866,f1867,f1792,f1883,f1901,f1890,f1793,f1933,f1939,f1889,f1882,f2028,f2029,f1823,f1822,f2030,f1811,f1810,f1768,f1767,f1562,f2035,f2048,f2049,f1677]) ).
fof(f2019,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2018]) ).
fof(f2018,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1973,f1666]) ).
fof(f1666,plain,
( identity = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1665,f1191]) ).
fof(f1665,plain,
( sk_c7 = inverse(identity)
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1591,f1639]) ).
fof(f1639,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1593,f1191]) ).
fof(f1973,plain,
( identity != inverse(identity)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1448]) ).
fof(f1448,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl0_6 ),
inference(superposition,[],[f566,f1]) ).
fof(f566,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f2017,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f2016]) ).
fof(f2016,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1974,f1813]) ).
fof(f1974,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1450]) ).
fof(f1450,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f566,f2]) ).
fof(f2015,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f2014]) ).
fof(f2014,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1975,f1813]) ).
fof(f1975,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1451]) ).
fof(f1451,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(superposition,[],[f566,f377]) ).
fof(f2013,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2012]) ).
fof(f2012,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2011,f1666]) ).
fof(f2011,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2010,f1191]) ).
fof(f2010,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2009,f1114]) ).
fof(f1114,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f30,f1107]) ).
fof(f2009,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1453,f1531]) ).
fof(f1531,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1530,f1]) ).
fof(f1530,plain,
( sk_c3 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1429,f918]) ).
fof(f1429,plain,
( sk_c3 = multiply(sk_c6,identity)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1421,f1]) ).
fof(f1421,plain,
( multiply(sk_c6,identity) = multiply(identity,sk_c3)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f187,f1189]) ).
fof(f1189,plain,
( identity = sk_c5
| ~ spl0_1
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f938,f1112]) ).
fof(f1112,plain,
( identity = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1110,f30]) ).
fof(f1110,plain,
( identity = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f53,f1101]) ).
fof(f938,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f661,f922]) ).
fof(f187,plain,
( multiply(sk_c6,identity) = multiply(sk_c5,sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f47,f157]) ).
fof(f1453,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f390]) ).
fof(f2008,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2007,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2006,f1666]) ).
fof(f2006,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1512,f1191]) ).
fof(f1512,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1511,f1046]) ).
fof(f1511,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1459,f1189]) ).
fof(f1459,plain,
( identity != sk_c5
| identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f624]) ).
fof(f624,plain,
( sk_c5 = multiply(sk_c5,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f621,f8]) ).
fof(f621,plain,
( multiply(sk_c6,sk_c7) = multiply(sk_c5,identity)
| ~ spl0_1 ),
inference(superposition,[],[f47,f616]) ).
fof(f616,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(superposition,[],[f159,f605]) ).
fof(f2005,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2004]) ).
fof(f2004,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f2003,f1666]) ).
fof(f2003,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f2002,f1191]) ).
fof(f2002,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1457,f1191]) ).
fof(f1457,plain,
( identity != sk_c7
| identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f616]) ).
fof(f2001,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f2000]) ).
fof(f2000,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1999,f1666]) ).
fof(f1999,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1998,f1191]) ).
fof(f1998,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1997,f1046]) ).
fof(f1997,plain,
( identity != inverse(sk_c5)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1459,f1189]) ).
fof(f1996,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1995]) ).
fof(f1995,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1994,f1666]) ).
fof(f1994,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1993,f1191]) ).
fof(f1993,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1992,f1107]) ).
fof(f1992,plain,
( identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1460,f1191]) ).
fof(f1460,plain,
( identity != sk_c7
| identity != inverse(sk_c3)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f566,f1101]) ).
fof(f1991,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1990]) ).
fof(f1990,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1989,f1666]) ).
fof(f1989,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1988,f1191]) ).
fof(f1988,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1987,f1107]) ).
fof(f1987,plain,
( identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1461,f1531]) ).
fof(f1461,plain,
( identity != sk_c3
| identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f604]) ).
fof(f1986,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f1985]) ).
fof(f1985,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1463,f1813]) ).
fof(f1463,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1451]) ).
fof(f1984,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1983,plain,
( $false
| ~ spl0_6 ),
inference(subsumption_resolution,[],[f1464,f1813]) ).
fof(f1464,plain,
( identity != inverse(inverse(identity))
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1450]) ).
fof(f1982,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1981]) ).
fof(f1981,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1465,f1666]) ).
fof(f1465,plain,
( identity != inverse(identity)
| ~ spl0_6 ),
inference(trivial_inequality_removal,[],[f1448]) ).
fof(f1980,plain,
( ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1979]) ).
fof(f1979,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1978,f1666]) ).
fof(f1978,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1977,f1191]) ).
fof(f1977,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1976,f1114]) ).
fof(f1976,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1486,f1531]) ).
fof(f1486,plain,
( identity != sk_c3
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1454,f604]) ).
fof(f1454,plain,
( identity != multiply(sk_c3,identity)
| identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f384]) ).
fof(f1972,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1876,f920,f916,f28,f565,f565,f565,f565]) ).
fof(f1876,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X6) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1875,f1191]) ).
fof(f1875,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1874,f1191]) ).
fof(f1874,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1873,f1191]) ).
fof(f1873,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1872,f1191]) ).
fof(f1872,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X3,identity)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1871,f1191]) ).
fof(f1871,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1548,f1191]) ).
fof(f1548,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c7)
| identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_1
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1547,f616]) ).
fof(f1547,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c7,identity)
| identity != multiply(X3,sk_c7)
| identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1546,f918]) ).
fof(f1546,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(sk_c7,sk_c6)
| identity != multiply(X3,sk_c7)
| identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5) )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1545,f1046]) ).
fof(f1545,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,sk_c7)
| identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1544,f918]) ).
fof(f1544,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1543,f918]) ).
fof(f1543,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1542,f1046]) ).
fof(f1542,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1541,f918]) ).
fof(f1541,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1540,f918]) ).
fof(f1540,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1539,f918]) ).
fof(f1539,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 )
| ~ spl0_9 ),
inference(forward_demodulation,[],[f26,f918]) ).
fof(f1588,plain,
( spl0_2
| spl0_4
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1587]) ).
fof(f1587,plain,
( $false
| spl0_2
| spl0_4
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f33,f1555,f1562,f1563,f1564,f1566,f1567,f1578,f1579,f1581,f1582,f1586]) ).
fof(f1582,plain,
( identity = inverse(sk_c4)
| spl0_2
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f33,f1555,f1562,f1563,f1564,f1566,f1567,f1578,f1579,f1581]) ).
fof(f1579,plain,
( identity = inverse(sk_c4)
| spl0_2
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f33,f1555,f1562,f1563,f1564,f1566,f1567,f1578]) ).
fof(f1567,plain,
( identity = multiply(sk_c4,sk_c7)
| spl0_2
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f33,f1555,f1562,f1563,f1564,f1566]) ).
fof(f1564,plain,
( identity = inverse(sk_c4)
| spl0_2
| ~ spl0_9 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f14,f10,f918,f1047,f1032,f1035,f1037,f1046,f1072,f1373,f1553,f33,f1555,f1562,f1563]) ).
fof(f1529,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1528]) ).
fof(f1528,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1527,f1088]) ).
fof(f1088,plain,
( identity = inverse(identity)
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1080,f918]) ).
fof(f1080,plain,
( sk_c6 = inverse(identity)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f165,f1049]) ).
fof(f1049,plain,
( identity = sk_c4
| ~ spl0_4
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1033,f2]) ).
fof(f1033,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_4
| ~ spl0_9 ),
inference(superposition,[],[f397,f918]) ).
fof(f397,plain,
( sk_c4 = multiply(inverse(sk_c6),identity)
| ~ spl0_4 ),
inference(superposition,[],[f53,f171]) ).
fof(f171,plain,
( identity = multiply(sk_c6,sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f2,f165]) ).
fof(f165,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f1527,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1526,f1049]) ).
fof(f1526,plain,
( identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1462,f1049]) ).
fof(f1462,plain,
( identity != sk_c4
| identity != inverse(sk_c4)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f566,f636]) ).
fof(f636,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_4 ),
inference(superposition,[],[f393,f397]) ).
fof(f393,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_4 ),
inference(superposition,[],[f53,f173]) ).
fof(f173,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f172,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f171]) ).
fof(f1525,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1524]) ).
fof(f1524,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1523,f1088]) ).
fof(f1523,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1522,f1180]) ).
fof(f1180,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(duplicate_literal_removal,[],[f1179]) ).
fof(f1179,plain,
( identity = sk_c7
| identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1178,f918]) ).
fof(f1178,plain,
( sk_c7 = sk_c6
| identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1172,f635]) ).
fof(f635,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f393,f395]) ).
fof(f1172,plain,
( identity = sk_c7
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1171,f1049]) ).
fof(f1171,plain,
( sk_c7 = sk_c4
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1170,f636]) ).
fof(f1170,plain,
( sk_c7 = multiply(sk_c4,identity)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1169,f586]) ).
fof(f586,plain,
( sk_c4 = sk_c2
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f570,f397]) ).
fof(f1522,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1521,f1107]) ).
fof(f1521,plain,
( identity != inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1461,f1190]) ).
fof(f1190,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f948,f1049]) ).
fof(f948,plain,
( sk_c3 = sk_c4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(forward_demodulation,[],[f930,f390]) ).
fof(f930,plain,
( sk_c4 = multiply(inverse(sk_c7),identity)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f397,f922]) ).
fof(f1520,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1518,f1088]) ).
fof(f1518,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1517,f1180]) ).
fof(f1517,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1516,f1107]) ).
fof(f1516,plain,
( identity != inverse(sk_c3)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1460,f1180]) ).
fof(f1515,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1514]) ).
fof(f1514,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1513,f1088]) ).
fof(f1513,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1512,f1180]) ).
fof(f1510,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1509]) ).
fof(f1509,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1508,f1088]) ).
fof(f1508,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1507,f918]) ).
fof(f1507,plain,
( identity != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1458,f918]) ).
fof(f1458,plain,
( identity != sk_c6
| identity != inverse(sk_c6)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f566,f653]) ).
fof(f653,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_4 ),
inference(superposition,[],[f173,f637]) ).
fof(f637,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f393,f2]) ).
fof(f1506,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1505]) ).
fof(f1505,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1504,f1088]) ).
fof(f1504,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1503,f1180]) ).
fof(f1503,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1457,f1180]) ).
fof(f1502,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1501]) ).
fof(f1501,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1500,f1088]) ).
fof(f1500,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1499,f1088]) ).
fof(f1499,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1498,f918]) ).
fof(f1498,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1497,f1049]) ).
fof(f1497,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c6))
| ~ spl0_4
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1456,f636]) ).
fof(f1456,plain,
( identity != multiply(sk_c4,identity)
| identity != inverse(inverse(sk_c6))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f566,f393]) ).
fof(f1496,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1495]) ).
fof(f1495,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1494,f1088]) ).
fof(f1494,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1493,f1088]) ).
fof(f1493,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1492,f918]) ).
fof(f1492,plain,
( identity != inverse(inverse(sk_c6))
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1455,f1049]) ).
fof(f1455,plain,
( identity != sk_c4
| identity != inverse(inverse(sk_c6))
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f566,f397]) ).
fof(f1491,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1490]) ).
fof(f1490,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1489,f1088]) ).
fof(f1489,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1488,f1180]) ).
fof(f1488,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1487,f1114]) ).
fof(f1487,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1486,f1190]) ).
fof(f1485,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1484]) ).
fof(f1484,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1483,f1088]) ).
fof(f1483,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1482,f1180]) ).
fof(f1482,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1481,f1114]) ).
fof(f1481,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1453,f1190]) ).
fof(f1480,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f1479]) ).
fof(f1479,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1478,f1088]) ).
fof(f1478,plain,
( identity != inverse(identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1477,f1180]) ).
fof(f1477,plain,
( identity != inverse(sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1476,f1114]) ).
fof(f1476,plain,
( identity != inverse(inverse(sk_c7))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1475,f1114]) ).
fof(f1475,plain,
( identity != inverse(inverse(inverse(sk_c7)))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1474,f1114]) ).
fof(f1474,plain,
( identity != inverse(inverse(inverse(inverse(sk_c7))))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10 ),
inference(subsumption_resolution,[],[f1452,f1190]) ).
fof(f1452,plain,
( identity != sk_c3
| identity != inverse(inverse(inverse(inverse(sk_c7))))
| ~ spl0_1
| ~ spl0_6 ),
inference(superposition,[],[f566,f591]) ).
fof(f591,plain,
( sk_c3 = multiply(inverse(inverse(inverse(sk_c7))),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f573]) ).
fof(f573,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f53,f390]) ).
fof(f1473,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1472]) ).
fof(f1472,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1471,f1088]) ).
fof(f1471,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1463,f1088]) ).
fof(f1470,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1469]) ).
fof(f1469,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1468,f1088]) ).
fof(f1468,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1464,f1088]) ).
fof(f1467,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1466]) ).
fof(f1466,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1465,f1088]) ).
fof(f1410,plain,
( ~ spl0_1
| spl0_7
| ~ spl0_9 ),
inference(avatar_contradiction_clause,[],[f1409]) ).
fof(f1409,plain,
( $false
| ~ spl0_1
| spl0_7
| ~ spl0_9 ),
inference(subsumption_resolution,[],[f1408,f616]) ).
fof(f1408,plain,
( sk_c7 != multiply(sk_c7,identity)
| spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1407,f918]) ).
fof(f1407,plain,
( sk_c7 != multiply(sk_c7,sk_c6)
| spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f660,f1046]) ).
fof(f660,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl0_7 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f1388,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1353,f916,f659,f167,f163,f565,f565,f565,f565]) ).
fof(f1353,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1352,f918]) ).
fof(f1352,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1351,f1180]) ).
fof(f1351,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1350,f918]) ).
fof(f1350,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1349,f1180]) ).
fof(f1349,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1348,f1046]) ).
fof(f1348,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1347,f1180]) ).
fof(f1347,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1346,f918]) ).
fof(f1346,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1345,f1180]) ).
fof(f1345,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1344,f918]) ).
fof(f1344,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1343,f918]) ).
fof(f1343,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1342,f918]) ).
fof(f1342,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1341,f1180]) ).
fof(f1341,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9 ),
inference(forward_demodulation,[],[f1340,f1180]) ).
fof(f1340,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f26,f661]) ).
fof(f1177,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1176]) ).
fof(f1176,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1175,f1055]) ).
fof(f1175,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1174,f918]) ).
fof(f1174,plain,
( sk_c7 = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(forward_demodulation,[],[f1173,f635]) ).
fof(f1173,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_9
| spl0_10 ),
inference(subsumption_resolution,[],[f1172,f1055]) ).
fof(f1022,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1021]) ).
fof(f1021,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f665,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f921,f10,f1000,f962,f14,f33]) ).
fof(f962,plain,
( sk_c7 = sk_c6
| sk_c7 = inverse(sk_c1)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f16,f635]) ).
fof(f1000,plain,
( sk_c7 = sk_c6
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f12,f635]) ).
fof(f687,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f638,f47]) ).
fof(f638,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f393,f53]) ).
fof(f657,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f655,f1]) ).
fof(f655,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c6,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f637]) ).
fof(f656,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f654,f165]) ).
fof(f654,plain,
( sk_c6 = multiply(inverse(sk_c4),identity)
| ~ spl0_4 ),
inference(superposition,[],[f53,f637]) ).
fof(f648,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c5,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f635]) ).
fof(f643,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f53,f393]) ).
fof(f642,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c6,X0)) = X0
| ~ spl0_4 ),
inference(superposition,[],[f53,f393]) ).
fof(f641,plain,
( identity = multiply(sk_c4,sk_c6)
| ~ spl0_4 ),
inference(superposition,[],[f2,f393]) ).
fof(f640,plain,
( sk_c4 = multiply(sk_c4,identity)
| ~ spl0_4 ),
inference(superposition,[],[f397,f393]) ).
fof(f639,plain,
( sk_c7 = multiply(sk_c4,sk_c5)
| ~ spl0_4 ),
inference(superposition,[],[f395,f393]) ).
fof(f598,plain,
( ! [X0] : multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0)) = X0
| ~ spl0_4 ),
inference(forward_demodulation,[],[f597,f1]) ).
fof(f597,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c6)),multiply(sk_c4,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f583]) ).
fof(f596,plain,
( sk_c4 = multiply(inverse(inverse(inverse(sk_c6))),identity)
| ~ spl0_4 ),
inference(superposition,[],[f53,f583]) ).
fof(f583,plain,
( identity = multiply(inverse(inverse(sk_c6)),sk_c4)
| ~ spl0_4 ),
inference(superposition,[],[f53,f397]) ).
fof(f585,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),X0)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f584,f1]) ).
fof(f584,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(inverse(sk_c6),multiply(identity,X0))
| ~ spl0_4 ),
inference(superposition,[],[f3,f397]) ).
fof(f1020,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1019]) ).
fof(f1019,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f910,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f921,f10,f1000,f962,f14,f33]) ).
fof(f910,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(forward_demodulation,[],[f908,f30]) ).
fof(f908,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl0_8 ),
inference(superposition,[],[f53,f665]) ).
fof(f1018,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1017]) ).
fof(f1017,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f921,f10,f1000,f962,f14,f33]) ).
fof(f1016,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1015]) ).
fof(f1015,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f33,f921,f10,f1000,f962,f14]) ).
fof(f1014,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1013]) ).
fof(f1013,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f33,f14,f921,f10,f1000,f962]) ).
fof(f1012,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1011,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f33,f14,f962,f921,f10,f1000]) ).
fof(f1010,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f33,f14,f962,f1000,f921,f10]) ).
fof(f1008,plain,
( spl0_2
| ~ spl0_4
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1007,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_10 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f397,f585,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f653,f638,f687,f594,f708,f709,f33,f14,f962,f1000,f10,f921]) ).
fof(f1006,plain,
( spl0_2
| spl0_8
| spl0_10 ),
inference(avatar_contradiction_clause,[],[f1005]) ).
fof(f1005,plain,
( $false
| spl0_2
| spl0_8
| spl0_10 ),
inference(global_subsumption,[],[f921,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710,f14,f10]) ).
fof(f710,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| spl0_8 ),
inference(subsumption_resolution,[],[f10,f664]) ).
fof(f664,plain,
( sk_c7 != multiply(sk_c3,sk_c6)
| spl0_8 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f1004,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710,f14,f10]) ).
fof(f1002,plain,
( spl0_2
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1001,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f1000,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710,f14]) ).
fof(f999,plain,
( spl0_2
| ~ spl0_4
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| spl0_2
| ~ spl0_4
| spl0_8 ),
inference(global_subsumption,[],[f962,f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710,f14]) ).
fof(f997,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f996]) ).
fof(f996,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710,f14]) ).
fof(f995,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f994]) ).
fof(f994,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(global_subsumption,[],[f993,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710]) ).
fof(f993,plain,
( identity = sk_c7
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f992,f637]) ).
fof(f992,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f809,f586]) ).
fof(f809,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| spl0_8 ),
inference(subsumption_resolution,[],[f18,f664]) ).
fof(f991,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664,f710]) ).
fof(f989,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f988]) ).
fof(f988,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f594,f708,f709,f33,f664]) ).
fof(f987,plain,
( spl0_2
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f986,plain,
( $false
| spl0_2
| spl0_8 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f395,f582,f581,f595,f377,f601,f5,f664,f594,f708,f709,f33]) ).
fof(f985,plain,
( spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f984]) ).
fof(f984,plain,
( $false
| spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f33,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944,f924,f974,f977]) ).
fof(f977,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f710,f922]) ).
fof(f974,plain,
( sk_c7 = multiply(sk_c4,sk_c7)
| ~ spl0_4
| ~ spl0_5
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f973,f586]) ).
fof(f973,plain,
( sk_c7 = multiply(sk_c2,sk_c7)
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f809,f922]) ).
fof(f924,plain,
( sk_c5 = multiply(sk_c7,sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f8,f922]) ).
fof(f936,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f638,f922]) ).
fof(f935,plain,
( identity = multiply(sk_c4,sk_c7)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f637,f922]) ).
fof(f934,plain,
( sk_c7 = multiply(inverse(inverse(inverse(sk_c7))),sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f594,f922]) ).
fof(f933,plain,
( identity = multiply(inverse(inverse(sk_c7)),sk_c4)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f583,f922]) ).
fof(f932,plain,
( sk_c5 = multiply(inverse(inverse(sk_c7)),sk_c7)
| ~ spl0_10 ),
inference(superposition,[],[f581,f922]) ).
fof(f949,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10 ),
inference(forward_demodulation,[],[f931,f586]) ).
fof(f931,plain,
( identity = multiply(sk_c7,sk_c2)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f569,f922]) ).
fof(f929,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c5)
| ~ spl0_10 ),
inference(superposition,[],[f395,f922]) ).
fof(f927,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f173,f922]) ).
fof(f926,plain,
( identity = multiply(sk_c7,sk_c4)
| ~ spl0_4
| ~ spl0_10 ),
inference(superposition,[],[f171,f922]) ).
fof(f925,plain,
( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_10 ),
inference(superposition,[],[f47,f922]) ).
fof(f903,plain,
( identity = sk_c7
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f902,f637]) ).
fof(f902,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f18,f586]) ).
fof(f983,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f982]) ).
fof(f982,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f981,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944,f924,f974,f977]) ).
fof(f981,plain,
( identity != sk_c7
| ~ spl0_1
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f980,f605]) ).
fof(f980,plain,
( sk_c7 != multiply(sk_c3,sk_c7)
| spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f664,f922]) ).
fof(f979,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f978]) ).
fof(f978,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944,f924,f974,f977]) ).
fof(f976,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f975]) ).
fof(f975,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944,f924,f974]) ).
fof(f972,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f971]) ).
fof(f971,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944,f924]) ).
fof(f970,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f969]) ).
fof(f969,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f938,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944]) ).
fof(f968,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944]) ).
fof(f966,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f964,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944]) ).
fof(f964,plain,
( identity = sk_c7
| sk_c7 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f963,f605]) ).
fof(f963,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| sk_c7 = inverse(sk_c1)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f14,f922]) ).
fof(f959,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f958]) ).
fof(f958,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f957,f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f23,f165,f171,f173,f47,f53,f378,f379,f380,f26,f394,f20,f18,f12,f10,f7,f24,f22,f169,f568,f569,f570,f572,f395,f582,f397,f585,f586,f581,f595,f583,f596,f598,f377,f601,f393,f639,f640,f641,f642,f643,f635,f648,f636,f637,f656,f657,f5,f664,f653,f638,f687,f594,f708,f709,f903,f917,f922,f925,f926,f927,f929,f949,f932,f933,f934,f935,f936,f944]) ).
fof(f957,plain,
( sk_c7 = multiply(sk_c1,sk_c7)
| identity = sk_c7
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f956,f922]) ).
fof(f956,plain,
( identity = sk_c7
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f955,f605]) ).
fof(f955,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f10,f922]) ).
fof(f954,plain,
( ~ spl0_1
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| ~ spl0_1
| ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(global_subsumption,[],[f15,f14,f16,f25,f8,f1,f2,f13,f3,f19,f17,f11,f9,f6,f4,f21,f30,f157,f159,f23,f47,f187,f53,f378,f379,f380,f26,f399,f394,f20,f196,f18,f185,f12,f10,f7,f24,f22,f390,f575,f395,f582,f573,f593,f581,f595,f377,f601,f384,f607,f608,f609,f610,f604,f605,f619,f620,f616,f624,f606,f5,f591,f705,f707,f594,f708,f709,f665,f907,f909,f910,f912,f913,f914,f917,f922,f946,f925,f929,f932,f934,f952,f944]) ).
fof(f952,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f939,f605]) ).
fof(f939,plain,
( sk_c7 = multiply(sk_c3,sk_c7)
| ~ spl0_8
| ~ spl0_10 ),
inference(superposition,[],[f665,f922]) ).
fof(f946,plain,
( sk_c7 = sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f945,f922]) ).
fof(f945,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f924,f910]) ).
fof(f914,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c7,X0))
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f3,f910]) ).
fof(f913,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f53,f910]) ).
fof(f912,plain,
( multiply(sk_c6,sk_c6) = multiply(sk_c5,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f47,f910]) ).
fof(f909,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| ~ spl0_8 ),
inference(superposition,[],[f3,f665]) ).
fof(f907,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_8 ),
inference(superposition,[],[f159,f665]) ).
fof(f707,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c7))),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f706,f1]) ).
fof(f706,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(inverse(inverse(sk_c7))),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f591]) ).
fof(f705,plain,
( identity = multiply(inverse(inverse(inverse(inverse(sk_c7)))),sk_c3)
| ~ spl0_1 ),
inference(superposition,[],[f53,f591]) ).
fof(f606,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f384,f53]) ).
fof(f620,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f618,f1]) ).
fof(f618,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f605]) ).
fof(f619,plain,
( sk_c7 = multiply(sk_c7,identity)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f617,f30]) ).
fof(f617,plain,
( sk_c7 = multiply(inverse(sk_c3),identity)
| ~ spl0_1 ),
inference(superposition,[],[f53,f605]) ).
fof(f610,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f53,f384]) ).
fof(f609,plain,
( ! [X0] : multiply(sk_c3,multiply(sk_c7,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f53,f384]) ).
fof(f608,plain,
( identity = multiply(sk_c3,sk_c7)
| ~ spl0_1 ),
inference(superposition,[],[f2,f384]) ).
fof(f607,plain,
( sk_c3 = multiply(sk_c3,identity)
| ~ spl0_1 ),
inference(superposition,[],[f390,f384]) ).
fof(f593,plain,
( ! [X0] : multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0)) = X0
| ~ spl0_1 ),
inference(forward_demodulation,[],[f592,f1]) ).
fof(f592,plain,
( ! [X0] : multiply(identity,X0) = multiply(inverse(inverse(sk_c7)),multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f573]) ).
fof(f575,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f574,f1]) ).
fof(f574,plain,
( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),multiply(identity,X0))
| ~ spl0_1 ),
inference(superposition,[],[f3,f390]) ).
fof(f185,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(superposition,[],[f47,f159]) ).
fof(f196,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f195,plain,
( ! [X0] : multiply(sk_c6,multiply(identity,X0)) = multiply(sk_c5,multiply(sk_c3,X0))
| ~ spl0_1 ),
inference(forward_demodulation,[],[f194,f3]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(multiply(sk_c6,identity),X0)
| ~ spl0_1 ),
inference(superposition,[],[f3,f187]) ).
fof(f399,plain,
( sk_c3 = multiply(inverse(sk_c5),multiply(sk_c6,identity))
| ~ spl0_1 ),
inference(superposition,[],[f53,f187]) ).
fof(f923,plain,
( spl0_9
| spl0_10
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f904,f163,f32,f28,f920,f916]) ).
fof(f904,plain,
( sk_c7 = sk_c6
| identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4 ),
inference(forward_demodulation,[],[f793,f635]) ).
fof(f793,plain,
( identity = sk_c6
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f792,f605]) ).
fof(f792,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_demodulation,[],[f12,f576]) ).
fof(f901,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f900]) ).
fof(f900,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f873,f813]) ).
fof(f813,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f812,f1]) ).
fof(f812,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f811,f736]) ).
fof(f736,plain,
( identity = sk_c4
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(forward_demodulation,[],[f719,f2]) ).
fof(f719,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| spl0_8 ),
inference(superposition,[],[f397,f712]) ).
fof(f712,plain,
( identity = sk_c6
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f711,f605]) ).
fof(f711,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f710,f576]) ).
fof(f811,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f810,f586]) ).
fof(f810,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(forward_demodulation,[],[f809,f712]) ).
fof(f873,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(superposition,[],[f787,f841]) ).
fof(f841,plain,
( identity = sk_c3
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f821,f2]) ).
fof(f821,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(superposition,[],[f390,f813]) ).
fof(f787,plain,
( sk_c7 != sk_c3
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f728,f604]) ).
fof(f728,plain,
( sk_c7 != multiply(sk_c3,identity)
| ~ spl0_1
| ~ spl0_2
| spl0_8 ),
inference(superposition,[],[f664,f712]) ).
fof(f899,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f898]) ).
fof(f898,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f897,f813]) ).
fof(f897,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f872,f1]) ).
fof(f872,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(superposition,[],[f728,f841]) ).
fof(f890,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(avatar_contradiction_clause,[],[f889]) ).
fof(f889,plain,
( $false
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(subsumption_resolution,[],[f888,f813]) ).
fof(f888,plain,
( identity != sk_c7
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f887,f1]) ).
fof(f887,plain,
( sk_c7 != multiply(identity,identity)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(forward_demodulation,[],[f869,f712]) ).
fof(f869,plain,
( sk_c7 != multiply(identity,sk_c6)
| ~ spl0_1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| spl0_8 ),
inference(superposition,[],[f664,f841]) ).
fof(f666,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f5,f663,f659]) ).
fof(f567,plain,
( spl0_6
| spl0_6
| spl0_6
| spl0_6
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f535,f167,f163,f28,f565,f565,f565,f565]) ).
fof(f535,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f534,f433]) ).
fof(f433,plain,
( identity = sk_c7
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f432,f2]) ).
fof(f432,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c6)
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f395,f223]) ).
fof(f223,plain,
( sk_c6 = sk_c5
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f222,f210]) ).
fof(f210,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl0_1
| spl0_5 ),
inference(superposition,[],[f159,f207]) ).
fof(f207,plain,
( sk_c6 = multiply(sk_c3,sk_c5)
| ~ spl0_1
| spl0_5 ),
inference(forward_demodulation,[],[f202,f177]) ).
fof(f177,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| spl0_5 ),
inference(superposition,[],[f159,f176]) ).
fof(f176,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| spl0_5 ),
inference(subsumption_resolution,[],[f22,f168]) ).
fof(f168,plain,
( sk_c6 != inverse(sk_c2)
| spl0_5 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f202,plain,
( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
| spl0_5 ),
inference(superposition,[],[f178,f8]) ).
fof(f178,plain,
( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
| spl0_5 ),
inference(superposition,[],[f3,f176]) ).
fof(f222,plain,
( sk_c6 = multiply(sk_c7,sk_c6)
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f203,f207]) ).
fof(f203,plain,
( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f178,f181]) ).
fof(f181,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f173,f180]) ).
fof(f180,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| spl0_5 ),
inference(subsumption_resolution,[],[f24,f168]) ).
fof(f534,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f533,f233]) ).
fof(f233,plain,
( sk_c7 = sk_c6
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f228,f176]) ).
fof(f228,plain,
( sk_c6 = multiply(sk_c3,sk_c6)
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(superposition,[],[f207,f223]) ).
fof(f533,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X3,identity)
| identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f532,f433]) ).
fof(f532,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X6,identity)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f531,f433]) ).
fof(f531,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X6,sk_c7)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f530,f233]) ).
fof(f530,plain,
( ! [X3,X6,X4,X5] :
( sk_c6 != multiply(X6,sk_c6)
| identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f529,f223]) ).
fof(f529,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X5,identity)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f528,f433]) ).
fof(f528,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X5,sk_c7)
| identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f527,f233]) ).
fof(f527,plain,
( ! [X3,X6,X4,X5] :
( identity != multiply(X4,identity)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f526,f433]) ).
fof(f526,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != multiply(X4,sk_c7)
| identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f525,f233]) ).
fof(f525,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f524,f433]) ).
fof(f524,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X4)
| identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f523,f233]) ).
fof(f523,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f522,f433]) ).
fof(f522,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X6)
| identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f521,f233]) ).
fof(f521,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X5)
| identity != inverse(X3)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f520,f433]) ).
fof(f520,plain,
( ! [X3,X6,X4,X5] :
( identity != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_4
| spl0_5 ),
inference(forward_demodulation,[],[f519,f433]) ).
fof(f519,plain,
( ! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X6)
| sk_c6 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != multiply(X3,sk_c7) )
| ~ spl0_1
| spl0_5 ),
inference(subsumption_resolution,[],[f26,f210]) ).
fof(f170,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f167,f163]) ).
fof(f156,plain,
( spl0_3
| spl0_3
| spl0_3
| spl0_3
| spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f97,f32,f28,f154,f154,f154,f154]) ).
fof(f35,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f13,f32,f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP303-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:43:56 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (20743)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (20747)WARNING: value z3 for option sas not known
% 0.15/0.38 % (20745)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (20746)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (20748)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (20747)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (20750)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (20751)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.38 % (20749)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.44 % (20747)First to succeed.
% 0.22/0.44 TRYING [6]
% 0.22/0.45 % (20747)Refutation found. Thanks to Tanya!
% 0.22/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.46 % (20747)------------------------------
% 0.22/0.46 % (20747)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.46 % (20747)Termination reason: Refutation
% 0.22/0.46
% 0.22/0.46 % (20747)Memory used [KB]: 1508
% 0.22/0.46 % (20747)Time elapsed: 0.071 s
% 0.22/0.46 % (20747)Instructions burned: 133 (million)
% 0.22/0.46 % (20747)------------------------------
% 0.22/0.46 % (20747)------------------------------
% 0.22/0.46 % (20743)Success in time 0.089 s
%------------------------------------------------------------------------------